41-46. Combining power series Use the geometric series OO f (20) = k for |ac|

4146. Combining power series Use the geometric series 1 for I xl < 1, to find the power series representation for the following functions (centered at 0). Give the interval of convergence of the new series. 1 41. f(3x) 1 3m 3 42. g(x) 3 43. h(x) 1 44. f(x3) 12 45. p(x) 1 46.